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Finding the Fourth Proportional to 314,105.78, 433,370.04 and 178,132.70

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Solution

The fourth proportional to 314,105.78, 433,370.04 and 178,132.70 is: 245,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,105.78 : 433,370.04 = 178,132.70 : x
  2. Step 2: Convert to fraction form
    314,105.78/433,370.04 = 178,132.70/x
  3. Step 3: Cross multiply
    314,105.78x = 433,370.04 × 178,132.70
  4. Step 4: Simplify right side
    314,105.78x = 77,197,375,324.31
  5. Step 5: Solve for x
    x = 77,197,375,324.31/314,105.78
  6. Step 6: Final answer
    x = 245,768.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.